Inverse scattering approach for massive Thirring models with integrable type-II defects

Abstract

We discuss the integrability of the Bosonic and Grassmannian massive Thirring models in the presence of defects through the inverse scattering approach. We present a general method to compute the generating functions of modified conserved quantities for any integrable field equation associated to the m x m spectral linear problem. We apply the method to derive in particular the defect contributions for the number of occupation, energy and momentum of the massive Thirring models.

25 pages in IOP Latex style; some modifications to match version accepted by J Phys A; a section on Liouville integrability added

References in corpus (2)

• Quantum and classical integrable sine-Gordon model with defect
• Systematic method of generating new integrable systems via inverse Miura maps

Cited by in corpus (10)

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• Defects in the supersymmetric mKdV hierarchy via Backlund transformations
• Type-I integrable quantum impurities in the Heisenberg model
• Jumps and twists in affine Toda field theories
• Integrable coupled massive Thirring model with field values in a Grassmann algebra
• A note on gl_N type-I integrable defects
• Lax pair formulation in the simultaneous presence of boundaries and defects